/* www-ATLAS of Group Representations. O8-(3).2^2 represented as 16 x 16 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,16,[ "1000000000000000", "0200000000000000", "0010000000000000", "0002000000000000", "0000100000000000", "0000001000000000", "0000010000000000", "0000000010000000", "0000000100000000", "0000011002000000", "0000000000200000", "0000000120010000", "0000000120001000", "0000011000000200", "0000000210000010", "0000022000000002"]); y:=CambridgeMatrix(1,F,16,[ "0100000000000000", "0010000000000000", "0001000000000000", "0000100000000000", "0000010000000000", "2020200000000000", "0000000100000000", "0000000001000000", "0000000000100000", "0000000000010000", "0000000000001000", "0201021000000000", "0000000000000100", "0000000000000010", "0000000000000001", "1010200210012010"]); G:=MatrixGroup<16,F|x,y>; print "Group G is O8-(3).2^2 < GL(16,GF(3))";